Answer:
x = 32 degrees
Angle ABC (left one): 153 degrees
Angle CBD (right one): 27 degrees
Step-by-step explanation:
We know that the total angle will be 180 degrees, as it's a continuous straight line.
We can set the sum of our 2 angles equal to 180 degrees and solve for x.
(4x + 25) + (x - 5) = 180
4x + 25 + x - 5 = 180
4x + x + 25 - 5 = 180
5x + 20 = 180
5x = 160
x = 160/5 = 32
x = 32
Angle ABC:
4x + 25 = 4 * 32 + 25 = 128 + 25 = 153
153 degrees
Angle CBD:
x - 5 = 32 - 5 = 27
27 degrees
We can confirm this by adding the 2 angles together. We should get 180 degrees.
153 + 27 = 180
Checks out!
<span>The slope-intercept form is y=mx+b y = m x + b , where m m is the slope and b b is the y-intercept.</span>
Absolute value of function = - 9 / 3 .
The absolute value or modulus of a real number x, denoted by |x|, is the non-negative value of x without regard to its sign. Namely, |x|=x if x is a positive number, and |x|=-x if x is negative (in which case negating x makes -x positive) , and |0|=0.
For example, the absolute value of 3 is 3, and the absolute value of −3 is also 3. The absolute value of a number may be thought of as its distance from zero.
x ≥ 1.52 / 3 x - 1 = 2 / 3 x + 4⇒ -1 = 4 which is not possible .Now for all x ≤ 1.5- 2 /3 x + 1 = 2 / 3 x + 4⇒ 4 / 3 x = -3 x = - 9 /4 Hence absolute value = - 9 / 3 .
To learn more on absolute value follow link :
brainly.com/question/13041863
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Answer:
X' = (2, -3)
Y' = (7, -9)
Z' = (10, -2)
Step-by-step explanation:
to find the translation of each point substitute the x and y with the the numbers
eg; X ( -5,2) the x is 5 and the y is 2
so -5 + 7 = 2 (the x value)
2 - 5 = -3 ( the y value)
Answer:
y = 9
Step-by-step explanation:
y-y1 = m(x-x1)
m is the slope =y2-y1/x2-x1=9-9/-2-3=0
pick any number out of the given two for (x1, x2)
y-9 = 0*(x-3) so
y-9 = 0 add 9 to both sides
y = 9
